College Physics for AP® Courses

# Chapter 12

1.

$2.78cm3/s2.78cm3/s size 12{"cm" rSup { size 8{3} } "/s"} {}$

3.

27 cm/s

5.

(a) 0.75 m/s

(b) 0.13 m/s

7.

(a) $40.0cm240.0cm2 size 12{5 "." "09" times "10" rSup { size 8{7} } } {}$

(b) $5.09×1075.09×107 size 12{5 "." "09" times "10" rSup { size 8{7} } } {}$

9.

(a) 22 h

(b) 0.016 s

11.

(a) 12.6 m/s

(b) $0.0800m3/s0.0800m3/s size 12{3 "." "80" times "10" rSup { size 8{9} } "cm" rSup { size 8{3} } "/s"} {}$

(c) No, independent of density.

13.

(a) 0.402 L/s

(b) 0.584 cm

15.

(a) $127 cm 3 /s 127 cm 3 /s$

(b) 0.890 cm

17.

P = Force Area , ( P ) units = N/m 2 = N ⋅ m/m 3 = J/m 3 = energy/volume P = Force Area , ( P ) units = N/m 2 = N ⋅ m/m 3 = J/m 3 = energy/volume alignl { stack { size 12{P= { {"Force"} over {"Area"} } ,} {} # size 12{ $$P$$ rSub { size 8{"units"} } ="N/m" rSup { size 8{2} } =N cdot "m/m" rSup { size 8{3} } ="J/m" rSup { size 8{3} } } {} # ="energy/volume" {} } } {}

19.

184 mm Hg

21.

$2 . 54 × 10 5 N 2 . 54 × 10 5 N size 12{2 "." "54" times "10" rSup { size 8{5} } " N"} {}$

23.

(a) $1.58×106 N/m21.58×106 N/m2 size 12{1 "." "58" times "10" rSup { size 8{6} } " N/m" rSup { size 8{2} } } {}$

(b) 163 m

25.

(a) $9.56×108W9.56×108W$

(b) 1.4

27.

1.26 W

29.

(a) $3.02×10−3 N3.02×10−3 N size 12{3 "." "02" times "10" rSup { size 8{ - 3} } " N"} {}$

(b) $1.03×10−31.03×10−3 size 12{1 "." "03" times "10" rSup { size 8{ - 3} } } {}$

31.

$1 . 60 cm 3 /min 1 . 60 cm 3 /min size 12{1 "." "60 cm" rSup { size 8{3} } "/min"} {}$

33.

$8.7 × 10 − 11 m 3 /s 8.7 × 10 − 11 m 3 /s size 12{8 "." 7 times "10" rSup { size 8{ - "11"} } m rSup { size 8{3} } "/s"} {}$

35.

0.316

37.

(a) 1.52

(b) Turbulence will decrease the flow rate of the blood, which would require an even larger increase in the pressure difference, leading to higher blood pressure.

39.

$225 mPa ⋅ s 225 mPa ⋅ s size 12{"225""mPa" cdot s} {}$

41.

$0 . 138 Pa ⋅ s, 0 . 138 Pa ⋅ s, size 12{0 "." "138 Pa" cdot s} {}$

or

Olive oil.

43.

(a) $1.62×104 N/m21.62×104 N/m2 size 12{1 "." "62" times "10" rSup { size 8{"4 "} } "N/m" rSup { size 8{2} } } {}$

(b) $0.111 cm3/s0.111 cm3/s size 12{0 "." "111 cm" rSup { size 8{3} } "/s"} {}$

(c)10.6 cm

45.

1.59

47.

$2.95×106 N/m22.95×106 N/m2 size 12{2 "." "21" times "10" rSup { size 8{6} } " N/m" rSup { size 8{2} } } {}$(gauge pressure)

51.

$NR=1.99×102 < 2000NR=1.99×102 < 2000$

53.

(a) nozzle: $1.27×1051.27×105 size 12{1 "." "27" times "10" rSup { size 8{5} } } {}$ , not laminar

(b) hose: $3.51×1043.51×104 size 12{1 "." "27" times "10" rSup { size 8{5} } } {}$, not laminar.

55.

2.54 << 2000, laminar.

57.

1.02 m/s

$1.28×10–2L/s1.28×10–2L/s$

59.

(a)$≥ 13.0 m≥ 13.0 m$

(b) $2.68×10−6 N/m22.68×10−6 N/m2 size 12{2 "." "68" times "10" rSup { size 8{ - 6} } " N/m" rSup { size 8{2} } } {}$

61.

(a) 23.7 atm or $344 lb/in2344 lb/in2$

(b) The pressure is much too high.

(c) The assumed flow rate is very high for a garden hose.

(d) $5.27×1065.27×106 size 12{5 "." "27" times "10" rSup { size 8{6} } } {}$ > > 3000, turbulent, contrary to the assumption of laminar flow when using this equation.

62.

$1 . 41 × 10 − 3 m 1 . 41 × 10 − 3 m size 12{1 "." "41" times "10" rSup { size 8{ - 3} } " m"} {}$

64.

$1 . 3 × 10 2 s 1 . 3 × 10 2 s size 12{1 "." 3 times "10" rSup { size 8{2} } " s"} {}$

66.

0.391 s

1.

(c)

3.

(a)

5.

(a)

7.

(a)

9.

(d)